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Argument of a complex number

  1. Jan 22, 2017 #1
    1. The problem statement, all variables and given/known data
    Write the given complex number in polar form first using an argument where theta is not equal
    to Arg(z)
    z=-7i
    3. The attempt at a solution
    [itex] 7isin(\frac{-\pi}{2}+2\pi n) [/itex]
    The wierd part about this problem it asks me to not use the argument, The argument is the smallest angle of the complex number, So I added 2 pi to it, but it tells me im wrong on my web assign, the only other thing I can think of is taking out the generic n and just adding 2 pi to it.
     
  2. jcsd
  3. Jan 22, 2017 #2

    haruspex

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    That's not what I understand by polar form.
     
  4. Jan 22, 2017 #3
    z=x+iy=rcos(x)+irsin(x), thats not polar form
     
  5. Jan 22, 2017 #4

    haruspex

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    My mistake, I was thinking of the exponential form.
    It's not clear to me which specific variants you tried, like 7i sin(-π/2), 7i sin(3π/2).
    As far as I can make out, there is not universal agreement whether Arg is defined to be in the range (-π, π] or [0, 2π).
     
  6. Jan 22, 2017 #5
    I tried 7isin(-pi/2) ,and the one with a generic 2*pi*n, I might have to wait till my teacher gets back to me on e-mail, because im not sure what my web assign is looking for, I might try 3*pi/2 and then add 2*pi to it, Just wanted to make sure I was interpreting it correctly . thanks for the replies
     
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